223545312441 has 72 divisors (see below), whose sum is σ = 366843230208. Its totient is φ = 130942627200.

The previous prime is 223545312439. The next prime is 223545312449. The reversal of 223545312441 is 144213545322.

It is a happy number.

223545312441 is a `hidden beast` number, since 2 + 23 + 545 + 31 + 24 + 41 = 666.

It is not a de Polignac number, because 223545312441 - 2¹ = 223545312439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 223545312396 and 223545312405.

It is not an unprimeable number, because it can be changed into a prime (223545312449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29130181 + ... + 29137853.

It is an arithmetic number, because the mean of its divisors is an integer number (5095044864).

Almost surely, 2^223545312441 is an apocalyptic number.

It is an amenable number.

223545312441 is a deficient number, since it is larger than the sum of its proper divisors (143297917767).

223545312441 is a wasteful number, since it uses less digits than its factorization.

223545312441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8595 (or 8581 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 223545312441 its reverse (144213545322), we get a palindrome (367758857763).

The spelling of 223545312441 in words is "two hundred twenty-three billion, five hundred forty-five million, three hundred twelve thousand, four hundred forty-one".